Advances in Geometry. Vol.1

On Karabegov's Quantizations of Semisimple Coadjoint Orbits.- Exotic Differential Operators on Complex Minimal Nilpotent Orbits.- The Geometry Surrounding the Arnold-Liouville Theorem.- Symmetric Spaces and Star Representations.- Hyperplane Arrangements, Springer Representations and Exponents.- Comparison of the Beilinson-Chern Classes with the Chern-Cheeger-Simons Classes.- Geometric Construction of Quillen Line Bundles.- Quadratic Algebras, Dunkl Elements, and Schubert Calculus.- Logarithmic Forms with Twisted Coefficients.- Higher Holonomies, Geometric Loop Groups and Smooth Deligne Cohomology.- Moduli Spaces of Linkages and Arrangements.- Moduli Spaces of Flat Connections on 2-Manifolds, Cobordism, and Witten's Volume Formulas.- A Rigidity Property for QuantumSU(3) Groups.- On the Cohomology Ring of an Algebra.- On A Quantum Version of Pieri's Formula.- Some Non-Koszul Algebras.- A Variety of Solutions to the Yang-Baxter Equation.